Stability and convergence analysis of adaptive BDF2 scheme for the Swift-Hohenberg equation

DOI10.1016/j.cnsns.2022.106412OpenAlexW4220806789WikidataQ113877801 ScholiaQ113877801MaRDI QIDQ2137333

Ming Zhang, Hong Sun, Xuan Zhao, Ran Yang, HaiYan Cao

Publication date: 16 May 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106412

zbMATH Keywords

stabilityconvergenceenergy dissipationSwift-Hohenberg equationvariable BDF2

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Related Items (4)

Full-rank and low-rank splitting methods for the Swift-Hohenberg equation ⋮ Energy-stable finite element method for a class of nonlinear fourth-order parabolic equations ⋮ An adaptive time-stepping method for the binary fluid-surfactant phase field model on evolving surfaces ⋮ A Unified Design of Energy Stable Schemes with Variable Steps for Fractional Gradient Flows and Nonlinear Integro-differential Equations

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